Search a number
-
+
1312332 = 223717919
BaseRepresentation
bin101000000011001001100
32110200011220
411000121030
5313443312
644043340
714104020
oct5003114
92420156
101312332
11816a7a
12533550
1336c438
14262380
151adc8c
hex14064c

1312332 has 48 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 352512.

The previous prime is 1312331. The next prime is 1312343. The reversal of 1312332 is 2332131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (77280).

21312332 is an apocalyptic number.

1312332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854720).

1312332 is an abundant number, since it is smaller than the sum of its proper divisors (2397108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312332 is a wasteful number, since it uses less digits than its factorization.

1312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 1312332 is about 1145.5706001814. The cubic root of 1312332 is about 109.4833068108.

Adding to 1312332 its reverse (2332131), we get a palindrome (3644463).

The spelling of 1312332 in words is "one million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 919 1428 1838 2757 3676 5514 6433 11028 12866 15623 19299 25732 31246 38598 46869 62492 77196 93738 109361 187476 218722 328083 437444 656166 1312332